Finding the Third Proportional to 359,400 and 563,748

Step by Step Solution

1. Step 1: Write the proportion equation
   359,400 : 563,748 = 563,748 : x
2. Step 2: Convert to fraction form
   359,400/563,748 = 563,748/x
3. Step 3: Cross multiply
   359,400x = 563,748 × 563,748
4. Step 4: Simplify right side
   359,400x = 317,811,807,504
5. Step 5: Solve for x
   x = 317,811,807,504/359,400
6. Step 6: Final answer
   x = 884,284.38